TMZ claimed Thursday that Kunis' phone was hacked -- and that a bevy of shocking photos was discovered, including one of the actress in the bathtub, another of Timberlake with women's underwear on his head, and another featuring male genitalia.

Says a joint statement from reps of Timberlake, 30, and Kunis, 28: "At no time did Mr. Timberlake and Ms. Kunis exchange inappropriate texts or emails. ... The insistence that there is any inappropriate correspondence between the two parties is entirely false."

Continues the statement: "We would like to confirm that the photo addressed in the media of Ms. Kunis was in fact not from any phone but from an inactive email account that has not existed in three years. In regards to the other photos in question, they were never exchanged between the two parties."

And, just in case anyone's wondering, the pals have a sense of humor about the brouhaha, and even reference Timberlake's classic SNL video "D*** in a Box" in their statement:

"In closing, Mr. Timberlake would like us to make it clear that while he might write songs about putting things in boxes, he never has and definitely doesn't make a habit of taking any photos of them and sending them ... Ms. Kunis would like us to add that while she is a fan of the song, she does not have nor has ever had photos of any male parts in her possession."